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Finding the Fourth Proportional to 12,232.52, 16,880.91 and 7,196.93

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Solution

The fourth proportional to 12,232.52, 16,880.91 and 7,196.93 is: 9,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.52 : 16,880.91 = 7,196.93 : x
  2. Step 2: Convert to fraction form
    12,232.52/16,880.91 = 7,196.93/x
  3. Step 3: Cross multiply
    12,232.52x = 16,880.91 × 7,196.93
  4. Step 4: Simplify right side
    12,232.52x = 121,490,727.61
  5. Step 5: Solve for x
    x = 121,490,727.61/12,232.52
  6. Step 6: Final answer
    x = 9,931.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.